## The Hunting of the Elementary Conduits

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
A for awesome
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### Re: The Hunting of the Elementary Conduits

gmc_nxtman wrote:A possibly new H->Pi, HF134P:

Code: Select all

rle
HF(x?)236B based on that start:

Code: Select all

x = 39, y = 39, rule = LifeHistory
14.2A$15.A$13.A$13.5A$17.A7.A$11.4AB7.3A$11.A2.AB6.A$12.6B4.2A$5.2A6.
11B$6.A7.8B$6.A.AB2.10B$.2A4.2AB.13B$2.A5.16B4.2B$2.A.AB3.15B3.5B$3.
2AB.27B$B4.29B$2B3.28B$3B3.26B.B$4B.23BD6B$.27B2D7B$.28B2D7B$.2BC25BD 8B$3BCBC4B.17BD10B$.2B3C4B2.27B$5BC4B2.27B$19B.17B$2B6.11B2.16B$B8. 10B3.14B$8.B.10B2.6B.B.4B$7.A2B.8B5.4B4.5B$6.A.A11B3.B2A2B7.2A$7.AB. 10B4.2A.B2A5.A$10.10B7.BA.A5.3A$11.7B12.A7.A$11.6B13.2A$9.2AB$8.A.AB$8.A$7.2A!

Probably slightly more likely to connect to something. The main problem is probably how close the second block from the B comes to the eater on the lower right.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

dvgrn
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### Re: The Hunting of the Elementary Conduits

A for awesome wrote:
gmc_nxtman wrote:A possibly new H->Pi, HF134P...
[H-to-B conduit] ... Probably slightly more likely to connect to something. The main problem is probably how close the second block from the B comes to the eater on the lower right.
The biggest problem I ran into was that the main workhorse conduit for extracting B-heptominoes from the middle of reaction envelopes -- BBx187H -- doesn't fit here, because there's an eater in the way of the block-killing glider.

That's not to say you can't make this into a Herschel conduit, but I can't see any way to fit one inside gmc_nxtman's very reasonable 300-tick or 100x100 bounding-box limits.

Fx422ugly:

Code: Select all

x = 112, y = 80, rule = LifeHistory
41.2A$41.A.A$43.A4.2A$39.4A.2A2.A2.A$39.A2.A.A.A.A.2A$41.BABABA.A$42.
B2ABA.A$43.2B.BA$42.3B$33.2A6.4B$34.A6.B2A3B$34.A.AB3.B2A3B$35.2AB.
10B$37.13B$37.14B$37.15B$39.8B2.4B$39.6B5.4B$38.9B4.4B$30.B6.4B4.2A5. 4B$30.2B4.4B5.A7.4B$30.3B2.4B7.3A5.4B$30.8B10.A6.4B$31.6B19.4B13.A$
32.4B21.4B10.3A$31.6B21.4B8.A$30.8B21.4B7.2A$29.4B2.4B21.4B3.5B$28.4B
4.4B21.4B2.3B$27.4B6.4B21.9B7.2A$26.4B8.4B21.8B8.A$25.4B10.4B21.10B3. B.A.2A$24.4B12.4B20.7B2A2B.B3A2.A$23.4B14.4B19.7B2A3BAB2.2A$22.4B16.
4B18.12B4A$21.4B18.4B15.2AB.8B2.2B.A$20.4B20.4B13.A.AB.7B2.B3A$19.4B 22.4B12.A5.5B3.A$18.4B24.4B10.2A5.4B5.5A$17.4B26.4B15.4B10.A4.A$16.4B
28.4B13.4B5.6A3.3A$3.2A10.4B18.2A10.4B11.4B6.A2.A4.A$4.A9.4B20.A11.4B
9.4B15.2A$2.A10.4B19.A14.4B7.4B4.A8.5B$2.5A5.4B5.2A13.5A11.4B5.4B5.3A
5.4B$7.A4.4B5.A18.A7.A4.4B3.4B9.A3.7B$4.3AB2.7B.BA.A12.4AB7.3A5.4B.4B
9.2A2.9B$3.A.2B3.7B.B2A13.A2.AB6.A9.7B7.B2.3B.11B$3.4A12B16.6B4.2A9.
5B7.3B3.13B$.2A2.BA3B2A7B9.2A6.11B9.5B7.18B2A$A2.3AB.2B2A7B10.A7.8B
10.7B6.18B2A$2A.A.B3.10B10.A.AB2.10B9.4B.4B4.18B.B$3.A8.8B4.2A4.2AB.
13B6.4B3.4B2.18B$3.2A7.9B4.A5.16B4.5B5.4B.20B$13.3B2.4B3.A.AB3.15B3.
5B7.25B2.7B.B$11.5B3.4B3.2AB.27B6.24B2.13B.B$11.2A7.4B4.29B7.23BD21B$12.A8.4B3.29B5.B2.23BD21BD$9.3A10.4B3.29B2.28B2D18B3DB$9.A13.4B.23BD 35B2D2B2A15BDBD$24.27B2D8BDB2A22BD3B2A15BD$24.28B2D5B3DB2A21B.11B3.2B 2.2B$24.2BC25BD6BDBD23B2.10B$23.3BCBC4B.17BD7BD25B3.6B$24.2B3C4B2.49B
5.3B$23.5BC4B2.27B2.7B.13B4.B$23.19B.17B4.6B2.13B3.2A$23.2B6.11B2.16B 6.3B3.11B5.A$23.B8.10B3.14B8.B4.9B8.A$31.B.10B2.6B.B.4B15.8B7.2A$30.A
2B.8B5.4B4.5B13.8B$29.A.A11B3.B2A2B7.2A13.6B$30.AB.10B4.2A.B2A5.A15.
5B$33.10B7.BA.A5.3A12.3B$34.7B12.A7.A$34.6B13.2A$32.2AB$31.A.AB$31.A$30.2A! That took three Snarks. I think it could be done with a better recovery time using two Snarks, a syringe, and an H-to-boat converter... but somehow that doesn't really seem like it will be an improvement. simeks Posts: 369 Joined: March 11th, 2015, 12:03 pm Location: Sweden ### Re: The Hunting of the Elementary Conduits Not sure if this H-to-Pi has been posted before. It doesn't connect to anything, but it looks like something that all those unconnectible Pi-to-Xs we've seen, should be tested against: Code: Select all x = 34, y = 16, rule = LifeHistory .2A$.A.A$3.A$3.2A$4.B27.2C$4.3B24.C.C$3.6B18.2C3BC$2.10B14.C2BCB$2. 11B3.2B2.5B.B2C2B$2BE3B2A15BD8B$2B2E2B2A11B3DBDBD6B$.2B2E14BD3B3D5B$2.BE15B3D3BD4B$2.E26B$4.13B.B2.3B.4B$4.7B.B13.2B!

EDIT: Another similar one:

Code: Select all

x = 33, y = 19, rule = LifeHistory
.2A$.A.A$3.A$3.2A$4.B$4.3B16.3B$3.6B13.5B$2.10B8.2B3D4B.B$2.11B3.2B2.
2BD7B2C$2BE3B2A14B3D5B2C$2B2E2B2A15BDBD6B$.2B2E18B3D5B$2.BE21BD4B$2.E 26B$4.13B.B2.3B.6B$4.7B.B13.2B.2C$29.C$30.3C$32.C!

EDIT 2: Can someone figure out a better use for this reaction than a B-to-G, or a H-to-B that doesn't connect to anything?

Code: Select all

x = 78, y = 35, rule = LifeHistory
60.C$58.3C$10.2C45.C$11.C6.C38.2C7.C$10.C5.3C45.3C$10.2C3.C47.C$6.2C
7.2C46.2C$6.2C4$7.E7.D12.2C33.E12.2C$8.E6.D.D10.2C33.E.E10.2C$8.2E5.
3D6.C38.3E6.C$7.2E8.D5.C.C39.E5.C.C$7.E14.C2.C44.C2.C$23.2C46.2C4$8.
3D$8.D$7.3D3$14.D47.D$13.2D46.2D$12.2D46.2D$13.2D46.2D$2.2C$.C.C$.C$
2C16.C47.C$17.C.C45.C.C$17.2C46.2C!


simeks
Posts: 369
Joined: March 11th, 2015, 12:03 pm
Location: Sweden

### Re: The Hunting of the Elementary Conduits

Turns out that Conduit 1 can be directed upwards with another transparent block, into a reaction that looks quite interesting:

Code: Select all

x = 21, y = 14, rule = LifeHistory
E$.E$.2E$2E2.2A13.2C$E3.2A13.2C4$17.2C$17.C$.2A15.3C$.A18.C$2.A$.2A!

So far I've found a B-to-G, and two conduits that don't look very useful:

Code: Select all

x = 152, y = 32, rule = LifeHistory
20.E$19.E.E$9.3D7.E.E48.2E$9.D8.2E.3E46.2E$10.D13.E$18.2E.3E118.2D$
18.2E.E119.D.D$140.2D2$83.2D52.2E$84.2D50.E.E$9.2E73.D51.2E$9.2E139.E$149.E.E$150.E4$E63.E63.E$.E63.E63.E$.2E62.2E62.2E$2E2.2A13.2C43.2E2. 2A13.2C43.2E2.2A13.2C$E3.2A13.2C43.E3.2A13.2C43.E3.2A13.2C4$17.2C62. 2C62.2C$17.C63.C63.C$.2A15.3C44.2A15.3C44.2A15.3C$.A18.C44.A18.C44.A
18.C$2.A63.A63.A$.2A62.2A62.2A!


dvgrn
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Posts: 6292
Joined: May 17th, 2009, 11:00 pm
Contact:

### Re: The Hunting of the Elementary Conduits

simeks wrote:Turns out that Conduit 1 can be directed upwards with another transparent block, into a reaction that looks quite interesting...
So far I've found a B-to-G, and two conduits that don't look very useful..
Nice! Yes, there must be some more good stuff there somewhere. The R output doesn't quite connect to most things -- but you can get another Spartan B-to-G out of it, at least:

Code: Select all

x = 33, y = 35, rule = LifeHistory
11.4B$12.4B$13.9B$12.11B$9.B.12B4.2A$8.2AB.12B2.B2AB$8.2A15B.3B$9.2B. 14B.B$12.17B$12.19B$11.20B$10.20B2A$10.11B2D7B2A$11.11B2D5B.B$10.12BD
5B$9.19B$9.19B$11.17B$13.15B$4.7B.17B$4.22B2AB$2.C22BABAB$2.BC18B2.B
2A2B$.2B2C17B4.B.B2A$2B2C2B2A13B2A5.BA.A$2BC3B2A13B2A8.A$2.18B11.2A$2.10B2.5B$3.6B5.7B$4.3B8.B3.2A$4.B14.A$3.2A15.3A$3.A18.A$4.3A$6.A!
EDIT: Make that two:

Code: Select all

x = 40, y = 34, rule = LifeHistory
25.2A$13.B2.6B2.B2A2B$12.11B2.4B$9.B.12B3.4B$8.ECB.18B$8.EC20B$9.2B.
17B9.2A$12.17B.B.B5.A$12.22B.BA.A$11.23B.B2A$10.26B$10.11B2D13B$11.
11B2D12B$10.12BD13B$9.16B.B.2B2.3B$9.17B.4B$11.15B.B2AB$13.12B3.2A$4.
7B.13B$4.19B$2.C20B$2.BC18B$.2B2C17B$2B2C2B2A13B2C$2BC3B2A13B2C$2.18B$2.10B2.5B$3.6B5.7B$4.3B8.B3.2C$4.B14.C$3.2A15.3C$3.A18.C$4.A$3.2A! simeks Posts: 369 Joined: March 11th, 2015, 12:03 pm Location: Sweden ### Re: The Hunting of the Elementary Conduits dvgrn wrote:The R output doesn't quite connect to most things... I found a variant of RF48H that fits here: Code: Select all x = 54, y = 41, rule = LifeHistory 13.2A$14.A$14.A.AB$15.2AB.2A$17.2B2AB$17.4B$17.6B3.2A$19.5B2.A.A$16. 8B3.AB6.2A$12.13B.2B8.A$9.B.19B6.A.AB$8.2AB.20B5.A.AB.B$8.2A23B5.A3B 2A$9.2B.6B2D13B4.3B.B2A$12.7B2D11B5.2B3.B$12.7BD15B.4B$11.22BD13B2.B$
10.23B2D8BD7B$10.11B2D11B2D5B3D7B$11.11B2D10BD6BDBD9B$10.12BD10BD7BD 11B$9.21B4.2B2.14BAB$9.18B2.3B9.10BABA$11.16B3.2A11.8BABA$13.15B2.A 13.8BA$4.7B.15B4.3A9.10B$4.19B3.B.A4.A9.9B$2.E20B2.A.A.A13.8B$2.BE18B 3.2A2.A14.7B$.2B2E17B7.2A14.5B$2B2E2B2A13B2A23.2B$2BE3B2A13B2A$2.18B$
2.10B2.5B$3.6B5.7B$4.3B8.B3.2A$4.B14.A$3.2A15.3A$3.A18.A$4.A$3.2A!  gmc_nxtman Posts: 1148 Joined: May 26th, 2015, 7:20 pm ### Re: The Hunting of the Elementary Conduits Would be a nice FNG-suppressing H->G, but the loaf gets in the way of most inputs I found... Code: Select all x = 41, y = 50, rule = LifeHistory D3.D.5D8.3D2.5D2.3D5.D$2D2.D.D11.D3.D3.D3.D7.2D$D.D.D.D15.D3.D3.D6.D. D$D2.2D.3D3.5D3.2D4.D3.4D2.D2.D$D3.D.D15.D3.D3.D3.D.5D$D3.D.D11.D3.D
3.D3.D3.D4.D$D3.D.5D8.3D4.D4.3D5.D10$27.4B$26.4B$25.4B$24.4B$23.4B$22.4B$21.4B$20.4B$9.2A8.4B.B$8.A2BA6.9B$8.BABA3B2.11B$8.2BA17B.2B$10.
7BC12B2A$12.5BCBC8B.B2A$12.5B3C6BAB2.B$12.7BC5BABA$13.11BA2BA$13.12B 2AB$13.14B$14.12B$14.10B$14.10B$14.11B$11.B2.11B$10.15B$9.15B$9.13B$9.14B$9.14B$9.14B$7.2AB.12B$6.A.AB5.7B$6.A9.B.4B$5.2A!  The loaf is actually just there to clean up an extra bit of junk, so maybe if it can be cleaned up another way, it can be completed? If it can't, well, that's a waste of two transparent loaves... simsim314 Posts: 1734 Joined: February 10th, 2014, 1:27 pm ### Re: The Hunting of the Elementary Conduits gmc_nxtman wrote:Would be a nice FNG-suppressing H->G Some variation (the first is useless but the second can actually be useful): Code: Select all x = 103, y = 30, rule = LifeHistory 91.C$89.3C$88.C$12.C12.2C61.2C$2C10.C.C10.2C$2C10.3C6.C$14.C5.C.C$19.
C2.C$20.2C66.C12.2C$88.C.C10.2C$88.3C6.C$90.C5.C.C$95.C2.C$96.2C8$2. 2C$.C.C$.C$2C2$78.2C$77.C.C$77.C$76.2C!


gmc_nxtman
Posts: 1148
Joined: May 26th, 2015, 7:20 pm

### Re: The Hunting of the Elementary Conduits

The second can also trigger the old pseudo-conduit reaction:

Code: Select all

x = 27, y = 36, rule = LifeHistory
3.2A$3.2A3$3.2A$3.2A$15.C$13.3C$12.C$12.2C5$12.C12.2C$12.C.C10.2C$12.
3C6.C$14.C5.C.C$19.C2.C$20.2C13$2.2C$.C.C$.C$2C!  EDIT: And so can the recent attachment to conduit 1: Code: Select all x = 21, y = 26, rule = LifeHistory 13.2A$13.2A3$13.2A$13.2A7$C$.C$.2C$2C2.2C13.2C$C3.2C13.2C4$17.2A$17.A$.2A15.3A$.A18.A$2.3A$4.A!  Is there a use for this reaction, though? EDIT2:Another wasted transparent loaf... Code: Select all x = 21, y = 26, rule = LifeHistory 4.2A$3.A2.A$3.A.A$4.A3$5.2A$5.2A5$C$.C$.2C$2C2.2C13.2C$C3.2C13.2C4$
2C7.C$21.2C7.2C!  gmc_nxtman Posts: 1148 Joined: May 26th, 2015, 7:20 pm ### Re: The Hunting of the Elementary Conduits B->H with a loaf to clean: Code: Select all x = 40, y = 40, rule = LifeHistory 18.A$18.3A$21.A$20.2A7$17.C20.2A$18.C19.2A$18.2C14.A$17.2C14.A.A$17.C 14.A2.A$33.2A6$2A$.A$.A.A$2.2A12$16.2A$16.A$14.A.A$14.2A!

Maybe the activity on the left can be turned into a glider to clean up the loaf?

Lx200 is, rather infuriatingly, one lane off:

Code: Select all

x = 63, y = 62, rule = LifeHistory
51.B$50.3D$50.BDB$49.2B3D$49.5B$49.6B$49.6B$49.5B$48.6B$49.6B$48.7B$48.6B$48.6B$48.6B$47.8B$48.8B$47.9B$18.A28.9B$18.3A26.10B$21.A25.5B2A 3B$20.2A25.5B2A4B3.2A$20.4B23.11B3.A$22.4B21.4BD7BA.A$21.6B5.B16.B3D 4B2.2A$21.5B4.5B14.D2B2D2B$20.16B13.6B$15.21B.2B6.2A2.6B$13.4BC20B2A 4.A.A9B$11.7BC17B.B2A4.A3.9B$9.9B2C14BAB2.B4.2A3.9B$7.10B2C14BABA12.
9B$7.10BC14BA2BA12.9B$8.25B2AB11.11B$10.25B12.11B$11.23B13.12B$10.3B. 18B9.B4.14B$10.6B2D14B8.3B3.10B.4B$9.6BD2BD14B5.6B2.16B$2A6.8BDBD17B
2.7B.17B$.A6.9BD41B.3B$.A.AB2.26BD25B2.2B$2.2AB.27BDBD23B3.B$4.29B3DB
2A21B$4.31BDB2A21B$4.57B$4.27B3.26B$5.25B6.B2.20B$5.20B.4B8.20B.B.B$
6.3B3.12B13.24B2A$7.2B5.10B12.25B2A$16.7B12.4B.5B2.12B.2B$16.3B2.B12. 4B2.4B3.13B$17.B15.4B12.11B.B$16.2A14.4B13.12B2A$16.A15.3B14.10B.B2A$14.A.A15.2B13.2AB.6B4.B$14.2A16.B13.A.AB.4B$46.A5.5B$45.2A8.2A$55.A$
56.3A$58.A!  EDIT: This very small nonspartan backwards H->B seems to have some potential: Code: Select all x = 19, y = 26, rule = LifeHistory 13.2A$13.A.A$15.A$9.2A3.A.2A$10.A3.A3.A$10.A.2A.2A.A$11.A.A.A.A$13.4B
$12.4B$10.7B$7.2B.8B$6.12B$3.B2.4BC6B$2.D7BCBC4B$.2D7B3C4B$2D10BC4B$. D14B$2.D8B.2B$4.11B$4.5B2.2A.A2.A$12.A.4A$10.A.A$10.2A2.2A$15.A$14.A$
14.2A!

EDIT2: Promising partial Lx139:

Code: Select all

x = 37, y = 45, rule = LifeHistory
14.2A$15.A2.2A4.B$15.A.A.A3.3D$16.A.B4.BDB$18.2B2.2B3D$17.BA2B.5B$17.
A.A8B$18.A.8B$15.3A4.5B$15.A5.6B$22.6B$21.7B$12.2A7.6B$11.B2AB6.6B$
12.3B.12B$13.B2.11B$11.16B$9.18B$8.21B$8.22B$9.23B$3.4B2.8B.15B$.A31B
$2B2AD28B$3BACBD25B.2A$.3BDCDB2A17B2D2B3.A$5ABDB2A16BD2BDB3.A.A$3BA 23B2D3B3.2A$5.26B$7.B2.11B2D6B$9.11BD2BD6B$8.13B2D7B3.2A$7.22B3.A2.A$6.4B.17B4.A.A.A$5.4B2.4B2.11B2.B2A2.A$4.4B10.8B.BA2B2.2A$3.4B11.9B.5A
$2.4B14.4B2.2A.B2.A$.4B21.BAB.2A$25.2BA.A$22.A2.A.A.A$22.4A.2A$26.A$24.A.A$24.2A!

Is there anything to snark those beehives?

Kazyan
Posts: 937
Joined: February 6th, 2014, 11:02 pm

### Re: The Hunting of the Elementary Conduits

Awkward B-to-G:

Code: Select all

x = 41, y = 35, rule = LifeHistory
4B29.A$.4B16.A9.3A$2.4B15.3A6.A$3.4B17.A4.B2A$4.4B15.2A3.4B7.2A$5.4B 14.8B7.A.A$6.4B15.6B3.2A3BA$7.4B10.10B2.A2BAB$8.4B8.12B.B2A2B$9.4B7. 19B$10.4B5.3B2C15B$11.4B4.4B2C13B$12.4B3.3B2C13B$13.4B3.2BC13B$14.4B
2.11B.4B$15.4B.11B2.2B$16.15B$17.15B$18.14B$19.14B$20.13B$21.12B$22.
10B$21.10B$22.9B$22.7B.B2A$23.5B2.BA.A$25.3B5.A$23.7B3.2A$23.2A.2B2A$
24.A3.ABA$21.3A5.BA$21.A7.A$30.3A$32.A!

Tanner Jacobi

dvgrn
Moderator
Posts: 6292
Joined: May 17th, 2009, 11:00 pm
Contact:

### Re: The Hunting of the Elementary Conduits

gmc_nxtman wrote:EDIT2: Promising partial Lx139...
Is there anything to snark those beehives?
Amusingly, your new G2-in-passing conduit would solve the problem, if you hooked it up:

Code: Select all

x = 112, y = 110, rule = LifeHistory
61.2A$60.A2.A$61.2A34.11B$96.5B2A6B$96.4BA2BA5B$86.A10.3BA2BA4B$85.A.
A10.3B2A5B$85.A.A9.11B$84.2A.3A7.11B$66.B18.B4.A6.9B.B2A$65.3D9.5B.B
2AB3A8.8B.BA.A$65.BDB8.6B.B2A.A10.7B5.A$63.B3D2B6.11B9.11B4.2A$63.6B 5.10B5.2A2.14B$63.7B4.10B4.B2A8BD8B$63.8B3.10B2.B2.9B3D9B$64.8B2.26BD
10B$64.9B.37B$63.6B.41B$63.7B.40B$64.6B.40B$64.6B2.39B$63.3B2AB3.38B$61.5B2A2B.39B$61.9B.39B$58.B.9B2.19B.3B.15B$57.2A11B.19B5.8B3.B.B$57. 2A6B2D19B2.B7.3B.2B3.3B$58.6BDBD18B11.2B7.B2AB$58.5B2D22B19.2A$60.28B
$58.29B$58.2AB2.9B3D12B$59.A4.8BDBD11B$56.3A3.2AB.6BDBD9B$56.A4.A.AB. 20B$61.A5.16B.2A$60.2A7.11B4.A$68.11B6.3A$68.11B8.A$59.2A7.10B$60.A7. 11B$60.A.AB3.14B$61.2AB.15B2A.2A$63.17B2ABA.A$63.19B3.A$63.20B2.2A$62.21B$61.20B$59.21B$59.2BC19B.B$58.3BCBC4B.13B2A$57.4B3C4B2.12B2A$56.7BC4B2.11B.B$56.11B3.9B$56.4B10.6B.B$56.3B12.5B$28.2A26.2B13.4B$
27.A2.A25.B15.5B$28.2A45.2A$75.A$76.3A$78.A3$14.2A$15.A2.2A4.B$15.A.A .A3.3D$16.A.B4.BDB$18.2B2.2B3D$17.BA2B.5B$17.A.A8B$18.A.8B$15.3A4.5B$
15.A5.6B$22.6B$21.7B$12.2A7.6B$11.B2AB6.6B$12.3B.12B$13.B2.11B$11.16B$9.18B$8.21B$8.22B$9.23B$3.4B2.8B.15B$.A31B$2B2AD28B$3BACBD25B.2A$.3B
DCDB2A17B2D2B3.A$5ABDB2A16BD2BDB3.A.A$3BA23B2D3B3.2A$5.26B$7.B2.11B2D
6B$9.11BD2BD6B$8.13B2D7B3.2A$7.22B3.A2.A$6.4B.17B4.A.A.A$5.4B2.4B2. 11B2.B2A2.A$4.4B10.8B.BA2B2.2A$3.4B11.9B.5A$2.4B14.4B2.2A.B2.A$.4B21. BAB.2A$25.2BA.A$22.A2.A.A.A$22.4A.2A$26.A$24.A.A$24.2A! Unfortunately that would probably increase the recovery time of the circuit far beyond the G2-producing conduit's already rather high recovery time. And I doubt that the other G2-in-passing conduit will improve things very much. gmc_nxtman Posts: 1148 Joined: May 26th, 2015, 7:20 pm ### Re: The Hunting of the Elementary Conduits Possible start for an HF->X containing a rare quadruple eater2 catalysis: Code: Select all x = 18, y = 15, rule = LifeHistory 7.A$6.A.A$5.A3.A$5.A3.A$5.A3.A$6.A.A2.2A.A$7.A3.2A.3A$17.A$11.2A.3A$
12.A.A$.A10.A.A$A.A2.2A6.A$2A3.A.A$7.A$7.2A!  Two LoM->H converters, unfortunately the inputs seem a bit cramped (the first one is better but still hard to reach: Code: Select all x = 108, y = 34, rule = LifeHistory 8.2A72.2A$2A6.A.A71.A2.2A$A.A6.AB72.2A.A$.2A2B3.2B3.B13.B47.2A8.B$.5B 2.10B.B5.6B36.2A6.A.A7.3B$2.29B36.A.A6.AB6.6B$.25BDB2A2B36.2A2B3.2B3. B2.10B$24B3DB2AB37.5B2.19B3.2B2.2B$24BDBD5B37.14BD3B2A15BD$24BD5B38.
15B2D2B2A15BDBD$.14B2.2B2.2B.5B38.4B2D11B2D18B3DB$2.13B10.B41.5B2D10B
D21BD$.16B50.5BD10BD21B$.17B50.14B3.13B.B$.18B50.13B3.7B.B$3.19B47.
15B$3.19B46.17B$3.7B3C10B2.2A41.18B$4.6BC2BC9B3.A39.2AB.19B$4.7B3C8B
4.A.2A35.A.AB2.18B$5.17B2.B2A2.A35.A6.5B3C10B2.2A$6.2B2.10B.BA2B2.2A
35.2A7.4BC2BC9B3.A$5.3B2.11B.5A47.4B3C8B4.A.2A$.2A.2BA3.B.B3.2B2.2A.B
2.A49.13B2.B2A2.A$.A.2BA.A3.3B6.BAB.2A51.10B.BA2B2.2A$2.A2.B2A2.B2AB
5.2BA.A53.11B.5A$3.A7.2A3.A2.A.A.A53.B.B3.2B2.2A.B2.A$.A.5A8.4A.2A55.
3B6.BAB.2A$.2A4.A12.A56.B2AB5.2BA.A$4.3A11.A.A57.2A3.A2.A.A.A$.2A.A 13.2A63.4A.2A$.A.A83.A$85.A.A$85.2A!

And a Pi->R with a rare forward glider, but it only connects to the loaf R->B, and from then on, not much else:

Code: Select all

x = 45, y = 24, rule = LifeHistory
17.A23.4B$16.A.A21.4B$15.A.A2.AB17.4B$13.3A2.2A.AB.B13.4B$12.A3.2A2.B
A2B2A11.4B$13.3A2.3AB.B2A10.4B$15.A.A2.2B2.B10.4B$15.BABAB14.4B$7.2A
7.BA3B12.4B$6.A2BA7.4B11.4B$6.BABAB6.3B11.4B$6.2BA6B.5B9.4B$8.15B4.B.
4B$10.13BD2.6B$2A8.13B2D7B$.A7.2B2D11B2D7B$.A.AB4.3B2D10BD7B$2.2AB.6B D4B3C3BD8B$4.2B2A9BCBC11B$4.BA.A9BCBC11B$5.2A3.8B.10B$10.7B3.5B.2B$
11.5B4.5B$21.3B!  I keep being so close to finding an actual conduit... BlinkerSpawn Posts: 1942 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: The Hunting of the Elementary Conduits gmc_nxtman wrote: Two LoM->H converters, unfortunately the inputs seem a bit cramped (the first one is better but still hard to reach: Code: Select all rle Two eater welds for them: Code: Select all x = 44, y = 74, rule = LifeHistory 18.2A$18.A2.2A$19.2A.A$11.2A8.B$3.2A6.A.A7.3B$3.A.A6.AB6.6B$4.2A2B3. 2B3.B2.10B$4.5B2.19B3.2B2.2B$5.14BD3B2A15BD$4.15B2D2B2A15BDBD$3.4B2D 11B2D18B3DB$3.5B2D10BD21BD$3.5BD10BD21B$4.14B3.13B.B$5.13B3.7B.B$5.
15B$4.17B7.A$4.18B5.A.A2.2A$2.2AB.19B3.2A3.A$.A.AB2.18B5.3A$.A6.5B3C 10B2.2A$2A7.4BC2BC9B3.A.2A$10.4B3C8B4.A.A$12.13B2.B2A2.A$13.10B.BA2B 2.2A$13.11B.5A$13.B.B3.2B2.2A.B2.A$14.3B6.BAB.2A$13.B2AB5.2BA.A$14.2A
3.A2.A.A.A$19.4A.2A$23.A$21.A.A$21.2A7$18.2A$18.A2.2A$19.2A.A$11.2A8.
B$3.2A6.A.A7.3B$3.A.A6.AB6.6B$4.2A2B3.2B3.B2.10B$4.5B2.19B3.2B2.2B$5. 14BD3B2A15BD$4.15B2D2B2A15BDBD$3.4B2D11B2D18B3DB$3.5B2D10BD21BD$3.5BD 10BD21B$4.14B3.13B.B$5.13B3.7B.B$5.15B$4.17B11.2A$4.18B6.2A.A.A$2.2AB .19B3.2A.A$.A.AB2.18B6.A$.A6.5B3C10B2.2A.2A$2A7.4BC2BC9B3.A$10.4B3C8B 4.A.2A$12.13B2.B2A2.A$13.10B.BA2B2.2A$13.11B.5A$13.B.B3.2B2.2A.B2.A$
14.3B6.BAB.2A$13.B2AB5.2BA.A$14.2A3.A2.A.A.A$19.4A.2A$23.A$21.A.A$21.
2A!

gmc_nxtman wrote:And a Pi->R with a rare forward glider, but it only connects to the loaf R->B, and from then on, not much else:

Code: Select all

rle
I keep being so close to finding an actual conduit...
Well, we can make the same consideration that I did with a failed Pi turner from Gustavo however-long-ago and note that the block's in perfect position to eat a second input pi in the same location, making a hard-to-connect Pi-to-G+B into a more connectable 2Pi(Tau?)-to-G+H:

Code: Select all

x = 79, y = 78, rule = LifeHistory
58.A$36.2A18.3A$37.A17.A$37.A.AB14.2A$38.2AB.2A12.B$40.2B2AB11.3B$39.
3B2.B2.2B6.6B$40.10B4.10B$39.13B2.11B3.2B2.2B$39.15BD3B2A15BD$39.15B
2D2B2A15BDBD$38.17B2D18B3DB$21.3B14.17BD21BD$11.5B4.5B13.16BD21B$10.
7B3.5B.2B10.17B.13B.4B$5.2A3.8B.10B7.27B.B5.3B$4.BA.A9BCBC14B2.22B10.
4B$4.2B2A9BCBC38B10.2A$2.2AB.6BD4B3C11BD27B10.A$.A.AB4.3B2D17BDBD26B 6.3A$.A7.2B2D7B2D9B3DB2A23B6.A$2A8.10B2D11BDB2A21B$10.49B$8.17B.2B. 29B$6.2BA6B.5B9.5B2.19B$6.BABAB6.3B11.4B.19B$6.A2BA7.4B11.24B$7.2A7.B A3B12.10B.12B$15.BABAB13.10B.12B$15.A.A2.2B2.B7.10B3.9B.B2A$13.3A2.3A
B.B2A5.4B.4B8.6B.BA.A$12.A3.2A2.BA2B2A4.4B3.4B7.6B4.A$13.3A2.2A.AB.B
5.3B5.3B7.5B5.2A$15.A.A2.AB8.2B7.2B2A6.3B$16.A.A11.B9.BA.A6.2B$17.A 25.A5.4B$43.2A3.B2AB$49.2A3$58.A$36.2A18.3A$37.A17.A$37.A.AB14.2A$38.
2AB.2A12.B$40.2B2AB11.3B$39.3B2.B2.2B6.6B$40.10B4.10B$39.13B2.11B3.2B
2.2B$39.15BD3B2A15BD$39.15B2D2B2A15BDBD$38.17B2D18B3DB$21.3B14.17BD
21BD$11.5B4.5B13.16BD21B$10.7B3.5B.2B10.17B.13B.4B$5.2A3.8B.10B7.27B. B5.3B$4.BA.A9BCBC14B2.22B10.4B$4.2B2A9BCBC38B10.2A$2.2AB.6BD4B3C11BD
27B10.A$.A.AB4.3B2D17BDBD26B6.3A$.A7.2B2D7B2C9B3DB2A23B6.A$2A8.10B2C 11BDB2A21B$10.49B$8.17B.2B.29B$6.2BA6B.5B9.5B2.19B$6.BABAB6.3B11.4B. 19B$6.A2BA7.4B11.24B$7.2A7.BA3B12.10B.12B$15.BABAB13.10B.12B$15.A.A2. 2B2.B7.10B3.9B.B2A$13.3A2.3AB.B2A5.4B.4B8.6B.BA.A$12.A3.2A2.BA2B2A4. 4B3.4B7.6B4.A$13.3A2.2A.AB.B5.3B5.3B7.5B5.2A$15.A.A2.AB8.2B7.2B2A6.3B$16.A.A11.B9.BA.A6.2B$17.A25.A5.4B$43.2A3.B2AB$49.2A!  (Unfortunately, I needed to suppress the G output for this connection) LifeWiki: Like Wikipedia but with more spaceships. [citation needed] dvgrn Moderator Posts: 6292 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI Contact: ### Re: The Hunting of the Elementary Conduits BlinkerSpawn wrote: gmc_nxtman wrote:And a Pi->R with a rare forward glider, but it only connects to the loaf R->B, and from then on, not much else: Code: Select all rle I keep being so close to finding an actual conduit... Well, we can make the same consideration that I did with a failed Pi turner from Gustavo however-long-ago and note that the block's in perfect position to eat a second input pi in the same location, making a hard-to-connect Pi-to-G+B into a more connectable 2Pi(Tau?)-to-G+H... (Unfortunately, I needed to suppress the G output for this connection) There's at least one other connection that can rescue the rare forward G output and produce a clean period-doubling conduit. And one more dependent conduit on the end of that allows a perfectly good composite conduit to be completed: dvgrn Moderator Posts: 6292 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI Contact: ### Re: The Hunting of the Elementary Conduits BlinkerSpawn wrote: gmc_nxtman wrote:And a Pi->R with a rare forward glider, but it only connects to the loaf R->B, and from then on, not much else... I keep being so close to finding an actual conduit. Well, we can make the same consideration that I did with a failed Pi turner from Gustavo however-long-ago and note that the block's in perfect position to eat a second input pi in the same location, making a hard-to-connect Pi-to-G+B into a more connectable 2Pi(Tau?)-to-G+H... (Unfortunately, I needed to suppress the G output for this connection) There's at least one other connection that can rescue the rare forward G output and produce a clean period-doubling conduit. And one more dependent conduit on the end of that allows a perfectly good composite conduit to be completed: Code: Select all x = 98, y = 80, rule = LifeHistory 26.2A$26.A18.2A$27.A17.A$26.2A14.BA.A$26.B12.2A.B2A$.4B19.3B11.B2A2B$.5B16.6B6.2B2.B2.3B$.7B11.10B4.10B$.10B2.2B3.11B2.13B$.6BD15B2A3BD15B
26.2A$2E3BDBD15B2A2B2D15B26.A$2E3B3D18B2D17B26.A10.A$.4BD21BD17B25.2A 8.3A$2.26BD16B25.B8.A$9.4B.13B.17B10.B12.3B8.2A$10.2B6.B.27B7.2B10.6B
4.5B3.2A$11.B13.22B2.7B7.10B2.4B5.A$25.31B.2B3.11B2.5B.BA.A$24.27BD 15B2A3BD7B.B2A$23.26BDBD15B2A2B2D9B$23.23B2AB3D18B2D11B$25.21B2ABD21B
D12B$24.48BD12B2.B$25.29B.2B.15B.11B.3B5.2A$27.19B2.5B9.B.21B.3B5.A$
28.19B2.3B18.20B.BA.A$27.21B.2B8.A.A8.20B.B2A$27.12B.10B9.2A.A4.25B$27.12B.5B.4B12.A4.25B$25.2AB.9B3.4B2.4B11.2A.27B$24.A.AB.6B13.4B12. 28B$24.A4.6B14.4B11.27B$23.2A5.5B15.4B10.26B4.4B$31.3B17.4B10.25B3.4B
$31.2B19.4B10.24B2.4B$30.4B19.4B12.20B2.4B$31.B2AB19.4B15.10B.4B2.4B$
32.2A21.4B13.13B4.4B$56.4B11.15B2.4B$57.4B9.16B.4B$58.4B7.21B$59.4B7.
19B$60.4B7.17B$61.4B6.5B2A2B.6B$62.4B7.3B2A2B2.4B$63.4B6.14B$64.4B4. 3B3D10B$65.4B3.4BD6B2.4B$66.4B2.2B3D5B4.4B$67.4B.9B6.4B$61.2A5.12B8. 4B$53.A6.B2AB5.10B10.4B$53.3A5.3B6.10B10.4B$56.A3.B.B7.10B$55.2A2.6B 6.8B7.2A$59.6B4.11B5.B2AB$47.2A10.21B6.2B$48.A10.21B7.2B$48.A.AB7.17B 2D2B5.2B2AB$49.2AB.3B2.18B2D3B.2B.BAB.A$51.21B3D10B.A.A$51.23BD9BA.A.
A.A$52.20B3D8BABA.A.A.A$51.30B2.BA2.A2.A$49.31B4.B2A.2A$47.19B3.12B5.
A.A$47.2BC15B4.6BD5B5.A.A$46.3BCBC4B.7B5.5B3D4B6.A$47.2B3C4B2.6B5.7BD 4B$46.5BC4B3.6B5.12B$45.10B6.4B7.5B2.2B2A$44.4B12.B2A2B7.3B4.BA2BA$44.3B14.2A.B2A5.2AB5.BABA$42.4B18.BA.A3.A.AB5.2BA$42.2A23.A3.2AB$43.A
23.2A3.4B$40.3A31.2A$40.A33.A$75.3A$77.A!
It fits inside a 100x100 bounding box, but I'm afraid it's not even close to 300-tick recovery time...! As a period doubler, it can easily accept input at below p150, though (and then you don't need the cleanup glider from the final dependent conduit.)

I'll add it to the period multipliers collection -- those two eastward output gliders are nice.

gmc_nxtman
Posts: 1148
Joined: May 26th, 2015, 7:20 pm

### Re: The Hunting of the Elementary Conduits

Is there any way to salvage this and make an H-to-G2?

Code: Select all

x = 20, y = 33, rule = LifeHistory
12.2A$12.A.A$13.A19$C$C.C$3C$2.C14.2A$17.2A3$16.2A$9.2A5.A.A$10.A7.A$7.3A8.2A$7.A!


Extrementhusiast
Posts: 1817
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: The Hunting of the Elementary Conduits

gmc_nxtman wrote:Is there any way to salvage this and make an H-to-G2?

Code: Select all

x = 20, y = 33, rule = LifeHistory
12.2A$12.A.A$13.A19$C$C.C$3C$2.C14.2A$17.2A3$16.2A$9.2A5.A.A$10.A7.A$7.3A8.2A$7.A!

One of the eaters can be removed:

Code: Select all

x = 19, y = 33, rule = LifeHistory
12.2A$12.A.A$13.A19$C$C.C$3C$2.C14.2A$17.2A4$9.2A$10.A$7.3A$7.A!  That modification notwithstanding, this catalysis seems promising: Code: Select all x = 27, y = 33, rule = LifeHistory 12.2A$12.A.A$13.A9.A$21.3A$20.A$20.2A8$23.2A$23.2A6$20.2A.A$C19.2A.3A
$C.C23.A$3C17.2A.3A$2.C14.2A2.A.A$17.2A.A2.A$20.A.A$20.2A2$9.2A$10.A$7.3A$7.A!

I'll keep looking.

EDIT: Found one:

Code: Select all

x = 41, y = 33, rule = LifeHistory
22.2A2.2A$14.A7.A3.A.A$6.A6.A.A4.A.A4.A9.A$6.3A5.A5.2A13.3A$9.A24.A$8.2A24.2A5$.2A.2A$2.A.A$2.A3.A$2A.4A30.2A$.A.A33.2A$.A2.A$2.2A4$34.2A .A$14.C19.2A.3A$14.C.C23.A$14.3C17.2A.3A$16.C14.2A2.A.A$31.2A.A2.A$34.A.A$34.2A2$23.2A$24.A$21.3A$21.A!

I Like My Heisenburps! (and others)

gmc_nxtman
Posts: 1148
Joined: May 26th, 2015, 7:20 pm

### Re: The Hunting of the Elementary Conduits

Extrementhusiast wrote:EDIT: Found one:

Code: Select all

x = 41, y = 33, rule = LifeHistory
22.2A2.2A$14.A7.A3.A.A$6.A6.A.A4.A.A4.A9.A$6.3A5.A5.2A13.3A$9.A24.A$8.2A24.2A5$.2A.2A$2.A.A$2.A3.A$2A.4A30.2A$.A.A33.2A$.A2.A$2.2A4$34.2A .A$14.C19.2A.3A$14.C.C23.A$14.3C17.2A.3A$16.C14.2A2.A.A$31.2A.A2.A$34.A.A$34.2A2$23.2A$24.A$21.3A$21.A!

Nice!

Here's a periodic HR54B:

Code: Select all

x = 32, y = 26, rule = LifeHistory
2.4B$2.3B2A$.2ABA2B$.2AB.A.BA5.BA$2.B3.ABAB3.BABA$7.A2B3.BABA13.A$6.
4B4.BA2B10.3A$5.B2A2B2.5B10.A$6.2A2.12B6.A$10.14B3.2A2.A$10.15B.B2.3A
$11.16B2A$9.17B2.A.2A$7.19B2.A2.A$7.2BC15B4.2A$6.3BCBC4B.7B$7.2B3C4B
2.7B$6.5BC4B3.6B$5.10B4.5B$4.4B11.5B$4.3B12.5B$2.4B13.2D2BD$2.2A16.3D
$3.A17.D$3A$A!  EDIT Oops, this was already mentioned by Kazyan... AbhpzTa Posts: 485 Joined: April 13th, 2016, 9:40 am Location: Ishikawa Prefecture, Japan ### Re: The Hunting of the Elementary Conduits Dependent BRx161B: Code: Select all x = 361, y = 95, rule = LifeHistory 23.2C98.2C98.2C98.2C$22.C.C97.C.C97.C.C97.C.C$18.2B2.BC94.2B2.BC94.2B 2.BC94.2B2.BC$16.7B93.7B93.7B93.7B$14.10B90.10B90.10B90.10B$7.2B3.12B
83.2B3.12B83.2B3.12B83.2B3.12B$5.5BE12B82.5BE12B82.5BE12B82.5BE12B$B
4.6BE10B78.B4.6BE10B78.B4.6BE10B78.B4.6BE10B$2B.8B2E7B80.2B.8B2E7B80. 2B.8B2E7B80.2B.8B2E7B$10B2E10B78.10B2E10B78.10B2E10B78.10B2E10B$10BE 12B77.10BE12B77.10BE12B77.10BE12B$.21B79.21B79.21B79.21B$2.4B.5B2C7B 81.4B.5B2C7B81.4B.5B2C7B81.4B.5B2C7B$3.4B.4B2C7B82.4B.4B2C7B82.4B.4B
2C7B82.4B.4B2C7B$4.16B84.16B84.16B84.16B$5.13B7.2C78.13B7.2C78.13B7.
2C78.13B7.2C$6.11B7.B2C2B77.11B7.B2C2B77.11B7.B2C2B77.11B7.B2C2B$7.
11B7.4B78.11B7.4B78.11B7.4B78.11B7.4B$8.10B5.6B79.10B5.6B79.10B5.6B 79.10B5.6B$8.11B4.6B79.11B4.6B79.11B4.6B79.11B4.6B$5.B.13B2.6B77.B. 13B2.6B77.B.13B2.6B77.B.13B2.6B$4.2CB.12B2.6B14.2C60.2CB.12B2.6B14.2C
60.2CB.12B2.6B14.2C60.2CB.12B2.6B14.2C$4.2C13B3.8B.B3.B6.C61.2C13B3. 8B.B3.B6.C61.2C13B3.8B.B3.B6.C61.2C13B3.8B.B3.B6.C$5.33B.BC.C62.33B.B
C.C62.33B.BC.C62.33B.BC.C$5.33B.B2C63.33B.B2C63.33B.B2C63.33B.B2C$7.
33B67.33B67.33B67.33B$7.33B67.33B67.33B67.33B$7.33B67.33B67.33B67.33B
$7.32B13.A54.32B13.A54.32B13.A54.32B13.A$5.2CB.26B6.2A7.3A52.2CB.26B
6.2A7.3A52.2CB.26B6.2A7.3A52.2CB.26B6.2A7.3A$4.C.CB.4B3.20B4.B2A2B4.A 54.C.CB.4B3.20B4.B2A2B4.A54.C.CB.4B3.20B4.B2A2B4.A54.C.CB.4B3.20B4.B 2A2B4.A$4.C5.3B.5B.17B4.4B4.2A53.C5.3B.5B.17B4.4B4.2A53.C5.3B.5B.17B
4.4B4.2A53.C5.3B.5B.17B4.4B4.2A$3.2C9.2C8.14B2.B.9B52.2C9.2C8.14B2.B. 9B52.2C9.2C8.14B2.B.9B52.2C9.2C8.14B2.B.9B$15.C7.26B66.C7.26B66.C7.
26B66.C7.26B$12.3C8.28B61.3C8.28B61.3C8.28B61.3C8.28B$12.C11.2BD2B2D
21B60.C11.2BD2B2D21B60.C11.2BD2B2D21B60.C11.2BD2B2D21B$26.B3D22B74.B 3D22B74.B3D22B74.B3D22B$25.3BD3B2A18B2.2A69.3BD3B2A18B2.2A69.3BD3B2A
18B2.2A69.3BD3B2A18B2.2A$25.7B2A16B4.A70.7B2A16B4.A70.7B2A16B4.A70.7B 2A16B4.A$24.26B.BA.A69.26B.BA.A69.26B.BA.A69.26B.BA.A$24.26B.B2A70. 26B.B2A70.26B.B2A70.26B.B2A$23.29B71.29B71.29B71.29B$23.13B.15B71.13B .15B71.13B.15B71.13B.15B$22.13B4.13B70.13B4.13B70.13B4.13B70.13B4.13B
$22.13B5.2B.8B71.13B5.2B.8B71.13B5.2B.8B71.13B5.2B.8B$23.5B.5B9.9B71.
5B.5B9.9B71.5B.5B9.9B71.5B.5B9.9B$23.5B.3B11.9B71.5B.3B11.9B71.5B.3B 5.B2.B.10B71.5B.3B5.B2.B.10B$21.A5B3.B9.12B69.A5B3.B9.12B69.A5B3.B5.
16B69.A5B3.B5.16B$20.A.A.2B12.13B69.A.A.2B12.13B69.A.A.2B10.15B69.A.A .2B10.15B$20.2A14.B.13B69.2A14.B.13B69.2A12.17B69.2A12.17B$35.2A16B 82.2A14B83.19B81.19B$35.2A18BD79.2A15B82.21BD78.21BD$36.20BD79.16B80. 2AB.20BD75.2AB.20BD$36.4B2.14B2D78.4B2.10B.BA76.A.AB.20B2D73.A.AB.20B
2D$42.13B2D85.11BA.A75.A5.B2.B.13B2D74.A5.B2.B.13B2D$43.12BD87.8B.2BA
75.2A11.12BD74.2A11.12BD$42.10B90.10B.B88.10B90.10B$43.9B91.10B90.9B
91.9B$43.8B92.11B89.8B92.8B$43.8B92.12B88.8B92.8B$42.7B93.7B3.4B86.9B 91.9B$43.6B94.6B4.3B80.2A5.6B87.2A5.6B$43.6B94.6B5.2B81.A5.6B7.2A79.A 5.6B7.2A$45.4B95.2D2BD6.B81.A.AB2.8B6.A79.A.AB2.8B6.A$43.5B97.3D90.2A B.11B.3A81.2AB.11B.3A$43.2A101.D93.14BA85.14BA$44.A195.14B86.14B$41.
3A196.13B87.13B$41.A198.13B86.14B7.A$239.11B.B85.D15B5.3A$238.4B2.6B 86.B3D12B.B3.A$237.4B3.7B86.DBD15B2.2A$236.4B4.7B88.D15B.3B$235.4B5.
8B.2B86.2B.13B$228.4B2.4B6.13B87.14B$227.5B.4B7.13B87.13B$227.9B8.14B 86.13B$227.8B10.12B88.14B$227.7B14.10B88.14B$227.6B2.B11.11B.B85.15B$227.11B5.B.14B2A84.16B$227.32B2A85.14B$227.6B2ABD23B86.14B$227.6B2AB
3D21B85.B.10B$227.9BDBD17B88.13B$227.11BD15B2A88.6B.3B$227.15B2.2B2. 6B2AB.B85.5BAB$227.7B2.4B10.8B2A84.4BABAB$228.6B18.4B.B2A83.5BABAB$
229.3B21.2B3.B85.5BA2B$230.B21.2B91.B.6B$251.B2AB89.B.7B$252.2A89.2A 8B$342.A.A2.5B$342.2A4.2B! Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) : 965808 is period 336 (max = 207085118608). Scorbie Posts: 1445 Joined: December 7th, 2013, 1:05 am ### Re: The Hunting of the Elementary Conduits @abhpzta Wow! Nice find! Best wishes to you, Scorbie dvgrn Moderator Posts: 6292 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI Contact: ### Re: The Hunting of the Elementary Conduits AbhpzTa wrote:Dependent BRx161B... Scorbie wrote:@abhpzta Wow! Nice find! Very interesting! So that's another Spartan diagonal component that can be made arbitrarily long, like simsim314's BRx46B and swimmer tracks and so on. The main limitation with Guam's original BRx161B was that it was really hard to get a signal into it. Because of the awkward uncatchable early output glider, I only remember finding two options -- a "preset" using a (2,1) block pull to pull a block back into catalyzing position before the circuit is activated (see BRx46B pattern below left), or an old Herschel receiver, so you needed a tandem glider to get the signal started. There was a really awkward spark that just barely reached back and knocked out a catalyst in all of the B-heptomino sources that were known at the time. Either that or the output glider caused trouble -- or both, as in the HL141B, below center. Code: Select all x = 280, y = 118, rule = LifeHistory 91.D3.D.D7.D6.D4.D3.4D$4D2.4D11.D3.3D2.4D57.D3.D.D6.2D5.2D3.2D3.D3.D$D3.D.D3.D9.2D2.D5.D3.D56.D3.D.D7.D4.D.D4.D3.D3.D$D3.D.D3.D.D3.D2.D.D
2.D5.D3.D56.5D.D7.D3.D2.D4.D3.4D$4D2.4D3.D.D2.D2.D2.4D2.4D57.D3.D.D7. D3.5D3.D3.D3.D$D3.D.D2.D4.D3.5D.D3.D.D3.D56.D3.D.D7.D6.D4.D3.D3.D57.D
3.D.4D3.3D3.3D3.3D2.4D$D3.D.D3.D2.D.D5.D2.D3.D.D3.D56.D3.D.5D2.3D5.D 3.3D2.4D58.D3.D.D3.D.D3.D.D3.D.D3.D.D3.D$4D2.D3.D.D3.D4.D3.3D2.4D149.
D3.D.D3.D5.D.D2.2D5.D.D3.D$109.6B68.5D.4D5.D2.D.D.D3.2D2.4D$109.6B68.
D3.D.D2.D4.D3.2D2.D5.D.D3.D$109.5B69.D3.D.D3.D2.D4.D3.D.D3.D.D3.D$
109.2ABAB69.D3.D.D3.D.5D2.3D3.3D2.4D$109.5AB$109.B4AB$97.4B8.7B$98.4B
7.BA2CD2B$99.4B5.2BACA3B$100.4B4.2BDCD3B$101.4B2.8B100.2B$14.2B86.4B
2.2B2A3B99.5B$13.4B86.4B.2B2A5B97.7B$13.4B87.13B82.2A12.9B$12.6B84. 16B82.A6.15B$13.5B84.17B81.A.AB.16B5.2A$12.6B84.16B83.2AB.16B5.A$12.
10B20.2C58.15B7.E17.2C59.18B2.BA.A15.2C$12.C2B2C6B18.C.C59.13B8.3E14. C.C59.19B.B2A15.C.C$9.2B.B3C7B14.2B2.BC52.A8.11B12.E9.2B2.BC60.21B13.
2B2.BC$8.2A4BC9B11.7B53.3A6.15B7.2E7.7B61.21B11.7B$8.2A2D12B9.10B55.A
3.20B4.B6.10B58.23B9.10B$6.BD2B2D12B2.2B3.12B54.2A3.26B3.12B47.A9.22B .B2.2B3.12B$5.DBDB.19BD12B55.32BD12B48.3A6.30BD12B$6.2D2B2.18BD10B58. 31BD10B52.A4.32BD10B$6.4B2.18B2D7B58.33B2D7B53.2A3.33B2D7B$12.17B2D 10B55.33B2D10B45.B5.37B2D10B$11.18BD12B54.33BD12B42.5B5.35BD12B$8.2B. 2B2A26B55.45B43.6B2.49B$7.2A3BA2BA3B.5B.5B2C7B54.2AB.33B2C7B43.2A46B
2C7B$7.2AB.2B2A2B5.4B.4B2C7B53.A.AB.19B.8B.4B2C7B43.2AB.33B2.4B.4B2C 7B$8.B2.6B6.16B54.A5.23B.16B45.B2.33B3.16B$12.4B8.13B7.2C46.2A5.7B. 13B4.13B7.2C41.28B.2B6.13B7.2C$12.4B9.11B7.B2C2B52.3B.3B.4B3.4B6.11B
7.B2C2B38.28B.4B6.11B7.B2C2B$13.2B11.11B7.4B51.2B2.3B3.B4.4B8.11B7.4B 38.27B2.B2AB7.11B7.4B$27.10B5.6B50.B2AB.B2AB6.4B10.10B5.6B38.27B3.2A
9.10B5.6B$27.11B4.6B51.2A3.2A6.4B11.11B4.6B41.23B15.11B4.6B$24.B.13B
2.6B64.4B9.B.13B2.6B44.20B13.B.13B2.6B$23.2CB.12B2.6B14.2C47.4B9.2CB. 12B2.6B14.2C32.15B13.2CB.12B2.6B14.2C$23.2C13B3.8B.B3.B6.C47.4B10.2C
13B3.8B.B3.B6.C32.13B16.2C13B3.8B.B3.B6.C$24.33B.BC.C62.33B.BC.C31. 15B16.33B.BC.C$24.33B.B2C47.2A14.33B.B2C31.16B16.33B.B2C$26.33B50.A 16.33B32.17B18.33B$26.33B47.3A17.33B33.16B18.33B$26.33B47.A19.33B34. 13B20.33B$26.32B13.A54.32B13.A21.5B2A2B.4B19.32B13.A$24.2CB.26B6.2A7. 3A52.2CB.26B6.2A7.3A23.3B2A2B2.4B16.2CB.26B6.2A7.3A$23.C.CB.4B3.20B4.
B2A2B4.A54.C.CB.4B3.20B4.B2A2B4.A26.8B2.4B14.C.CB.4B3.20B4.B2A2B4.A$23.C5.3B.5B.17B4.4B4.2A53.C5.3B.5B.17B4.4B4.2A24.3BDCD2B4.4B13.C5.3B. 5B.17B4.4B4.2A$22.2C9.2C8.14B2.B.9B52.2C9.2C8.14B2.B.9B24.3BACA2B5.4B
11.2C9.2C8.14B2.B.9B$34.C7.26B66.C7.26B26.2BD2CAB7.4B22.C7.26B$31.3C
8.28B61.3C8.28B24.7B8.4B18.3C8.28B$31.C11.2BD2B2D21B60.C11.2BD2B2D21B 24.B4AB30.C11.2BD2B2D21B$45.B3D22B74.B3D22B24.B5A11.2A31.B3D22B$44.3B D3B2A18B2.2A69.3BD3B2A18B2.2A21.BAB2A11.A31.3BD3B2A18B2.2A$44.7B2A16B
4.A70.7B2A16B4.A22.5B12.3A28.7B2A16B4.A$43.26B.BA.A69.26B.BA.A21.6B 14.A27.26B.BA.A$43.26B.B2A70.26B.B2A22.6B42.26B.B2A$42.29B71.29B71. 29B$42.13B.15B71.13B.15B71.13B.15B$41.13B4.13B70.13B4.13B70.13B4.13B$
41.13B5.2B.8B71.13B5.2B.8B71.13B5.2B.8B$42.5B.5B9.9B71.5B.5B9.9B71.5B .5B9.9B$42.5B.3B11.9B71.5B.3B11.9B71.5B.3B5.B2.B.10B$40.A5B3.B9.12B 69.A5B3.B9.12B69.A5B3.B5.16B$39.A.A.2B12.13B69.A.A.2B12.13B69.A.A.2B
10.15B$39.2A14.B.13B69.2A14.B.13B69.2A12.17B$54.2A16B82.2A14B83.19B$54.2A18BD79.2A15B82.21BD$55.20BD79.16B80.2AB.20BD$55.4B2.14B2D78.4B2. 10B.BA76.A.AB.20B2D$61.13B2D85.11BA.A75.A5.B2.B.13B2D$62.12BD87.8B.2B A75.2A11.12BD$61.10B90.10B.B88.10B$62.9B91.10B90.9B$62.8B92.11B89.8B$62.8B92.12B88.8B$61.7B93.7B3.4B86.9B$62.6B94.6B4.3B80.2A5.6B$62.6B94.
6B5.2B81.A5.6B7.2A$64.4B95.2D2BD6.B81.A.AB2.8B6.A$62.5B97.3D90.2AB.
11B.3A$62.2A101.D93.14BA$63.A195.14B$60.3A196.13B$60.A198.13B$258.11B .B$257.4B2.6B$256.4B3.7B$255.4B4.7B$254.4B5.8B.2B$247.4B2.4B6.13B$246.5B.4B7.13B$246.9B8.14B$246.8B10.12B$246.7B14.10B$246.6B2.B11.11B. B$246.11B5.B.14B2A$246.32B2A$246.6B2ABD23B$246.6B2AB3D21B$246.9BDBD
17B$246.11BD15B2A$246.15B2.2B2.6B2AB.B$246.7B2.4B10.8B2A$247.6B18.4B.
B2A$248.3B21.2B3.B$249.B21.2B$270.B2AB$271.2A!
#C [[ STOP 544 ]]
However, I now see that the Spartan HR203B sneaks a B-heptomino in with no problem, just barely letting the problematic glider out (above right). Did I know that at one point, or did someone else mention it? Are there any other new B outputs that can be connected to a BRx161B successfully?

gmc_nxtman
Posts: 1148
Joined: May 26th, 2015, 7:20 pm

### Re: The Hunting of the Elementary Conduits

Another possibly salvagable H->G2:

Code: Select all

x = 28, y = 23, rule = LifeHistory
12.2A$12.2A3$2A$.A$.A.A$2.2A5$24.2A$24.A.A$2.C23.A$2.C.C21.2A$2.3C$4. C4$19.2A$19.2A!  This one just needs a catalyst to replace the block. (Standard eaters and BTS don't work) Kazyan Posts: 937 Joined: February 6th, 2014, 11:02 pm ### Re: The Hunting of the Elementary Conduits R-to-G: Code: Select all x = 34, y = 29, rule = LifeHistory 11.2A$12.A5.3B$12.A.AB.4B$13.2AB.6B.B$15.12B$15.12B5.2A$15.13B4.A$14.
13B2.BA.A$14.14B.B2A$15.15B$15.6B2A7B$14.6BA2BA6B$13.8B2A6B$13.B2C13B
$13.2B2C11B$12.3BC10B$11.12B$10.10B.B$9.4B.5B$8.4B3.3B$7.4B5.B$6.4B4.
5B$5.4B5.2A.2A$4.4B7.A.A$3.4B6.A.A.A.A$2.4B7.2A3.2A$.D3B$D3B\$3D!
Tanner Jacobi